TY - JOUR ID - 31306 TI - TWO LOW-ORDER METHODS FOR THE NUMERICAL EVALUATION OF CAUCHY PRINCIPAL VSlLUE INTEGRALS OF OSCILLATORY KIND JO - Journal of Sciences, Islamic Republic of Iran JA - JSCIENCES LA - en SN - 1016-1104 Y1 - 2000 PY - 2000 VL - 11 IS - 1 SP - EP - DO - N2 - In this paper, we develop two piecewise polynomial methods for the numerical evaluation of Cauchy Principal Value integrals of oscillatory kind. The two piecewisepolynomial quadratures are compact, easy to implement, and are numerically stable. Two numerical examples are presented to illustrate the two rules developed, The convergence of the two schemes is proved and some error bounds obtained, UR - https://jsciences.ut.ac.ir/article_31306.html L1 - https://jsciences.ut.ac.ir/article_31306_47e094fd00ae03078ca5ef25eb2ed3c1.pdf ER -